6218768640 has 576 divisors, whose sum is σ = 24865505280. Its totient is φ = 1291714560.

The previous prime is 6218768639. The next prime is 6218768653. The reversal of 6218768640 is 468678126.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6218768640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14165541 + ... + 14165979.

It is an arithmetic number, because the mean of its divisors is an integer number (43169280).

Almost surely, 2^6218768640 is an apocalyptic number.

6218768640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6218768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432752640).

6218768640 is an abundant number, since it is smaller than the sum of its proper divisors (18646736640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6218768640 is a wasteful number, since it uses less digits than its factorization.

6218768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 6218768640 is about 78859.1696633943. The cubic root of 6218768640 is about 1838.9424294373.

The spelling of 6218768640 in words is "six billion, two hundred eighteen million, seven hundred sixty-eight thousand, six hundred forty".